about to only mathematics

Options

A. `pi//2`
B. `pi//3`
C. `pi//4`
D. `pi//6`

Answer

C

Explanation

Let O is the point at centre and P is the point at circumference. Therefore, angle QOR is double the angle QPR. So, it is sufficient to find the angle QOR.

Now, Slope of ` OQ, m_(1)=4//3`,
Slope of `OR, m_(2)=-3//4`
Here, `m_(1)m_(2)=-1`
therefore, `angle QOR = pi//2`
which implies that `ange QPR = pi//4`